I believe that you can shoot mink.
The European otter is the only native UK otter species. It’s a European Protected Species and is also fully protected under Schedule 5 of the Wildlife and Countryside Act 1981.
You’re breaking the law if you:
•capture, kill, disturb or injure otters (on purpose or by not taking enough care)
•damage or destroy a breeding or resting place (deliberately or by not taking enough care)
•obstruct access to their resting or sheltering places (deliberately or by not taking enough care)
•possess, sell, control or transport live or dead otters, or parts of otters
If you’re found guilty of an offence you could be sent to prison for up to 6 months and be fined £5,000 for each offence.